Question: Consider the following joint PDF: f(x, y) = 12 / 5 x(2 - x - y); 0 < x < 1; 0 < y <

Consider the following joint PDF:
f(x, y) = 12 / 5 x(2 - x - y); 0 < x < 1; 0 < y < 1
= 0 otherwise
a. Find P(x > 0.5) and P(y < 0.5)
b. What is the conditional density of X given that Y = y, where 0 < y < 1?

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